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2206880222448 = 2431120292059979
BaseRepresentation
bin100000000111010100010…
…011111100110011110000
321210222100021111001100010
4200013110103330303300
5242124142314104243
64405454330054520
7315304356244446
oct40072423746360
97728307431303
102206880222448
11780a29396a40
122b785b87a440
1313015310c895
1478b5662cb96
153c6154ab433
hex201d44fccf0

2206880222448 has 80 divisors (see below), whose sum is σ = 6222457987200. Its totient is φ = 668421661440.

The previous prime is 2206880222413. The next prime is 2206880222471. The reversal of 2206880222448 is 8442220886022.

It is a happy number.

It is a super-2 number, since 2×22068802224482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2206880222397 and 2206880222406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41323 + ... + 2101301.

It is an arithmetic number, because the mean of its divisors is an integer number (77780724840).

Almost surely, 22206880222448 is an apocalyptic number.

It is an amenable number.

2206880222448 is an abundant number, since it is smaller than the sum of its proper divisors (4015577764752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2206880222448 is a wasteful number, since it uses less digits than its factorization.

2206880222448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062030 (or 2062024 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 2206880222448 in words is "two trillion, two hundred six billion, eight hundred eighty million, two hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2029 4058 6087 8116 12174 16232 22319 24348 32464 44638 48696 66957 89276 97392 133914 178552 267828 357104 535656 1071312 2059979 4119958 6179937 8239916 12359874 16479832 22659769 24719748 32959664 45319538 49439496 67979307 90639076 98878992 135958614 181278152 271917228 362556304 543834456 1087668912 4179697391 8359394782 12539092173 16718789564 25078184346 33437579128 45976671301 50156368692 66875158256 91953342602 100312737384 137930013903 183906685204 200625474768 275860027806 367813370408 551720055612 735626740816 1103440111224 2206880222448